77901264 has 200 divisors, whose sum is σ = 266951168. Its totient is φ = 21461760.

The previous prime is 77901247. The next prime is 77901277. The reversal of 77901264 is 46210977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281094 + ... + 281370.

Almost surely, 2^77901264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133475584).

77901264 is an abundant number, since it is smaller than the sum of its proper divisors (189049904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77901264 is a wasteful number, since it uses less digits than its factorization.

77901264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77901264 is about 8826.1692709805. The cubic root of 77901264 is about 427.0855077602.

The spelling of 77901264 in words is "seventy-seven million, nine hundred one thousand, two hundred sixty-four".